The future of mathematics education since COVID-19: humans-with-media or humans-with-non-living-things
Open accessAbstract
The COVID-19 pandemic has changed the agenda of mathematics education. This change will be analyzed by looking at three trends in mathematics education: the use of digital technology, philosophy of mathematics education, and critical mathematics education. Digital technology became a trend in mathematics education in response to the arrival of a different kind of artifact to the mathematics classroom. It was thrust into the spotlight as the pandemic suddenly moved classrooms online around the world. Challenges specific to mathematics education in this context must be addressed. The link between the COVID-19 pandemic and digital technology in education also raises epistemological issues highlighted by philosophy of mathematics education and critical mathematics education. Using the notion that the basic unit of knowledge production throughout history is humans-with-media, I discuss how humans are connected to the virus, how it has laid bare social inequality, and how it will change the agendas of these three trends in mathematics education. I highlight the urgent need to study how mathematics education happens online for children when the home environment and inequalities in access to digital technologies assume such significant roles as classes move on-line. We need to understand the political role of agency of artifacts such as home in collectives of humans-with-media-things, and finally we need to learn how to implement curricula that address social inequalities. This discussion is intertwined with examples.
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Technological innovations such as AR and VR have the potential to change the way students learn and experience mathematics.
“Technological innovations such as these have the potential to change the way students learn and experience mathematics (Borba, 2021).”
From Exploring AR and VR Tools in Mathematics Education Through Culturally Responsive Pedagogies (2024) · cites this paper as Borba, 2021
In “Digital technology and mathematics education” (page unavailable), Borba says technology can create learning experiences that draw students into course content, supporting the general claim that technology may change mathematics learning. The passage does not discuss AR or VR specifically, so it does not establish that potential for those examples. (LLM, conf=0.84)
Experimental — accuracy not yet measuredNon-human actors or things could be natural, cultural, or artifacts.
“Borba (2021) explained that non-human actors or things could be natural (e.g., environment) or cultural (e.g., symbols or images that represent a student’s culture/background), or they could be artifacts (e.g., software, hardware, internet, apps).”
From Exploring AR and VR Tools in Mathematics Education Through Culturally Responsive Pedagogies (2024) · cites this paper as Borba, 2021
In “Philosophy of mathematics education and agency in the notion of humans-with-media” (page unavailable), Borba discusses natural and cultural things as non-human agents and identifies software, hardware, and the Internet as artifacts. The cited passages do not give the specific example of symbols or images representing a student’s cultural background, or identify apps as an example. (LLM, conf=0.86)
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Cites
Acting with technology: Activity theory and interaction design
Kaptelinin, V., & Nardi, B. (2007) · First Monday · doi:10.5210/fm.v12i4.1772 · Cited by 1,647 · cited 2× · see citing works
“Kaptelinin and Nardi (2006) suggest three dimensions of agency: based on necessity (action is taken based on biological and cultural reasons), delegated (things or living beings act as the perceived intentions that are delegated by other humans and things), and conditional (actions of things or…”
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Research works printed but not linked: 29
- Bicudo, M. A. V., & Garnica, A. V. M. (2001). Filosofia da Educação Matemática. [Philosophy of Mathematics Education] (1st ed.). Autentica.1 88p.
- Borba, M. C. (1993). Students understanding of transformations of functions using multi-representational software (Doctoral Dissertation) Cornell University. Cornell.
- Borba, M. C. (2018). ERME as a group: Questions to mould its identity. In: Tommy Dreyfus T. Artigue, M. Portari. D., Susanne Prediger, Kenneth Ruthven. (Org.). Developing Research in Mathematics Education: Twenty Years of Communication, Cooperation and Collaboration in Europe. (1.Ed.). Routledge, 1, 1–290.
- Borba, M. C., & Villarreal, M. E. (2005). Humans-with-media and the reorganization of mathematical thinking: Information and communication technologies, modeling, experimentation and visualization. Springer.
- Borba, M. C., Scucuglia, R. R. S., & Gadanidis, G. (2014). Fases das tecnologias digitais em educação matemática: Sala de aula e internet em movimento [Phases of digital technologies in mathematics education: The classroom and the Internet in motion] (1st ed.). Autêntica.
- Borba MC Askar P Engelbrecht J Gadanidis G Llinare Aguilar M Blended learning, e-learning and mobile learning in mathematics education ZDM-Mathematics Education 2016 48 589 610 10.1007/s11858-016-0798-4 · DOI
- Borba, M. C., Almeida, H. R. F. L., & Gracias, T. A. S. (2018). Pesquisa em ensino e sala de aula: Diferentes vozes em uma investigação. [Research in education and the classroom: Different voices in research] (1st ed.). Autêntica, 1.
- D'Ambrosio U Borba MC Dynamics of change of mathematics education in Brazil and a scenario of current research ZDM-Mathematics Education 2010 42 271 279 10.1007/s11858-010-0261-x · DOI
- Domingues, N. S.(2020). Festival de Vídeos Digitais e Educação Matemática: Uma complexa rede de sistemas seres humanos -com -mídias. [Digital videos festival and mathematics education: A complex network of systems of humans-with-media] (Doctoral Dissertation in Mathematics Education) - Universidade Estadual Paulista (UNESP), Rio Claro, SP.
- Engelbrecht J Harding A Combining online and paper assessment in a web-based course in undergraduate mathematics Journal of Computers in Mathematics and Science Teaching 2004 23 3 217 231
- Engelbrecht J Harding A Teaching undergraduate mathematics on the Internet Educational Studies in Mathematics 2005 58 253 276 10.1007/s10649-005-6457-2 · DOI
- Engelbrecht J Borba MC Llinares S Kaiser G Will 2020 be remembered as the year in which education was changed? ZDM-Mathematics Education 2020 52 2 821 824 10.1007/s11858-020-01185-3 32837580 PMC7374655 · DOI
- Engelbrecht J Llinares S Borba MC Transformation of the mathematics classroom with the internet ZDM-Mathematics Education 2020 52 825 841 10.1007/s11858-020-01176-4 32837579 PMC7317248 · DOI
- Faggiano, E., Ferrara, F., & Montone, A. (2017). Innovation and technology enhancing mathematics education: Perspectives in the Digital Era. Springer.
- Ford P Flipping a math content course for pre-service elementary school teachers Primus 2015 25 4 369 380 10.1080/10511970.2014.981902 · DOI
- Freire, P.(1968) Pedagogia do oprimido.(1. Ed.). [Pedagogy of the Oppressed]. Paz e Terra.
- Kaput, J. (1991). Notations and representations as mediators of constructive processes. In E. von Glasersfeld (Ed.), Constructivism and mathematics education (pp. 53–74). Kluwer.
- Kaput, J. (1992). Technology and mathematics education. In D. A. Grouws (Ed.), Research on mathematics teaching and learning (pp. 515–556). Macmillan.
- Kaput J Representations, inscriptions, descriptions and learning: A kaleidoscope of windows The Journal of Mathematical Behavior 1998 17 2 265 281 10.1016/S0364-0213(99)80062-7 · DOI
- Lave, J. (1988). Cognition in Practice. Cambrigne University Press.
- Lévy, P. (1993). As tecnologias da Inteligência: O futuro do pensamento na era da informática. [The Intelligence technologies: The future of thinking in the information era] (1st ed.). Editora 34.
- Powell, A. (2012). The historical development of critical mathematics education. In A. A. Wager, D. W. Stinson, & J. Kilpatrick (Eds.), Teaching mathematics for social justice conversations with educators (pp. 21–34). National Council of teachers of mathematics.
- Sannino A Engeström Y Cultural-historical activity theory: Founding insights and new challenges Cultural-Historical Psychology 2018 14 13 43 56 10.17759/chp.2018140304 · DOI
- Skovsmose O Towards a critical mathematics education Educational Studies in Mathematics 1994 27 37 57 10.1007/BF01284527 · DOI
- Skovsmose, O., & Borba, M. C.(2004). Research methodology and critical mathematics education. In: P. Valero; R. Zevenbergen. (Org.). Researching the socio-political dimensions of mathematics education: Issues of power in theory and methodology. (pp. 207–226). Kluwer.
- Tikhomirov, O. K. (1981). The psychological consequences of computerization. In J. V. Wertsch (Ed.), The concept of activity in soviet psychology (pp. 256–278). M. E. Sharpe. Inc..
- Torisu, E. M. (2017). A educação matemáticacrítica na visão de arthur powell. [The Critical Mathematics Education in the view of Arthur Powell]. Revista Paranaense de Educação Matematica, 6(11), 07–17.
- Villarreal M Borba MC Collectives of humans-with-media in mathematics education: Notebooks, blackboards. calculators, computers.and notebooks throughout 100 years of ICMI ZDM-Mathematics Education 2010 42 49 62 10.1007/s11858-009-0207-3 · DOI
- Wilson SG The flipped class. A method to address the challenges of an undergraduate statistics course Teaching of Psychology 2013 40 3 193 199 10.1177/0098628313487461 · DOI
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Exploring AR and VR Tools in Mathematics Education Through Culturally Responsive Pedagogies
Bertrand, M. G., Sezer, H. B., & Namukasa, I. K. (2024) · Digital Experiences in Mathematics Education · doi:10.1007/s40751-024-00152-x · Cited by 28 · see citing works
- Authors
- Borba, M. C.
- Affiliations
- Universidade Estadual Paulista (Unesp) (BR)
- Corresponding author
- Borba, Marcelo C.
- ORCID
- Borba, Marcelo C.
- Venue
- Educational Studies in Mathematics
- Published
- 2021-04-27
- Volume
- 108
- Issue
- 1-2
- Pages
- 385-400
- ISSN
- 0013-1954 (ISSN-L)
- 1573-0816
- PMC
- PMC8076877
- OpenAlex
- W3157440495
- Cited by
- 190
- References
- 1
- Citations by year
- 2026: 18 · 2025: 37 · 2024: 40 · 2023: 42 · 2022: 41 · 2021: 11 · 2018: 1
- FWCI
- 51.12
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Educational Studies in Mathematics (publishedVersion)
- PubMed Central (publishedVersion)
- PubMed (publishedVersion)
- LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Científicas) (submittedVersion, other-oa)
- Topics
- Social Sciences › Education › Mathematics Education and Teaching Techniques
- Physical Sciences › Computer Science › Information Systems › Digital Education and Society
- Social Sciences › Education › Education during COVID-19 pandemic
- Keywords
- COVID-19 pandemic, mathematics education, digital technology in education, online learning, philosophy of mathematics education, critical mathematics education, social inequality, digital access, family environment, epistemology of mathematics education, curriculum development
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